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Simplifying -130 = 5 + 5(5a + 3) Reorder the terms: -130 = 5 + 5(3 + 5a) -130 = 5 + (3 * 5 + 5a * 5) -130 = 5 + (15 + 25a) Combine like terms: 5 + 15 = 20 -130 = 20 + 25a Solving -130 = 20 + 25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25a' to each side of the equation. -130 + -25a = 20 + 25a + -25a Combine like terms: 25a + -25a = 0 -130 + -25a = 20 + 0 -130 + -25a = 20 Add '130' to each side of the equation. -130 + 130 + -25a = 20 + 130 Combine like terms: -130 + 130 = 0 0 + -25a = 20 + 130 -25a = 20 + 130 Combine like terms: 20 + 130 = 150 -25a = 150 Divide each side by '-25'. a = -6 Simplifying a = -6
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